Search: id:A046043
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%I A046043
%S A046043 1210,2020,21200,3211000,42101000,521001000,6210001000
%N A046043 Autobiographical (or curious) numbers: n = x0 x1 x2...x9 such that xi 
               is the number of digits equal to i in n.
%C A046043 Proof of completeness based on: x0 > 0; xi > 2 only if i = 0; for i > 
               2, xi = 1 if i = x0, xi = 0 otherwise.
%D A046043 E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, 
               Volume 59 (Jeux math'), April/June 2008, Paris.
%D A046043 Enumerated by David Castro (david_castro(AT)retek.com).
%D A046043 M. Gardner, Mathematical Circus, pp. 128; 135 Prob. 7 Alfred A. Knopf 
               NY 1979.
%D A046043 Math. Mag., Vol. 66:4 (1993) p. 276.
%H A046043 K. Uhland, <a href="http://uhlandkf.homestead.com/files/PuzzlePage/199904Sol.htm">
               The Ten-Digit Number</a> [Broken link?]
%e A046043 n = 1210 has one 0, two 1's, one 2 and zero 3's and n = "one two one 
               zero".
%Y A046043 Compare with the "Look-and-Say" version A047841.
%Y A046043 Sequence in context: A133142 A068534 A135239 this_sequence A138480 A047627 
               A047626
%Y A046043 Adjacent sequences: A046040 A046041 A046042 this_sequence A046044 A046045 
               A046046
%K A046043 nonn,base,nice,fini,full
%O A046043 1,1
%A A046043 Robert Leduc (leduc(AT)macalester.edu)

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